First slide

Types of collision

Question

A block m₁strikes a stationary block m₃inelastically. Another block m₂ is kept on m₃. Neglecting the friction between all contacting surfaces, the fractional decrease of K. E. of the system in collision is:

Moderate

A

$\large \frac{{{m_1}}}{{{m_1} + {m_2} + {m_3}}}$
B

$\large \frac{{{m_1}}}{{{m_2} + {m_3}}}$
C

$\large \frac{{{m_3}}}{{{m_1} + {m_3}}}$
D

$\large \frac{{{m_2} + {m_3}}}{{{m_1} + {m_2} + {m_3}}}$

Solution

Since the impact between m₁ and m₃ is inelastic, m₁ and m₃ will move together towards right and m₂ does not move due to the absence of friction.
The velocity of the combined mass

Hence, the correct choice is (3).

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